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Finding the Fourth Proportional to 277,820.70, 383,455.26 and 157,031.88

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Solution

The fourth proportional to 277,820.70, 383,455.26 and 157,031.88 is: 216,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,820.70 : 383,455.26 = 157,031.88 : x
  2. Step 2: Convert to fraction form
    277,820.70/383,455.26 = 157,031.88/x
  3. Step 3: Cross multiply
    277,820.70x = 383,455.26 × 157,031.88
  4. Step 4: Simplify right side
    277,820.70x = 60,214,700,373.69
  5. Step 5: Solve for x
    x = 60,214,700,373.69/277,820.70
  6. Step 6: Final answer
    x = 216,739.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.